Question

Just number 23 super confused

Answer 1

Answer:

x = -7

Step-by-step explanation:

This is an exponential equation.

$\frac{1}{2}^x=128$

We need to take log(or ln) of both sides and use logarithm property to solve this.

So, let's take ln of both sides, so we have:

$ln(\frac{1}{2}^x)=ln(128)$

Now, we will use this property shown below to further simplify:

$ln(a^b)=bln(a)$

So, we now have:

$ln(\frac{1}{2}^x)=ln(128)\\xln(\frac{1}{2})=ln(128)\\x=\frac{ln(128)}{ln(\frac{1}{2})}\\x=-7$

The value of x is -7